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General Relativity and Quantum Cosmology

Title:Classical Spacetime from Quantum Gravity

Abstract: We show how classical spacetime emerges from quantum gravity through the
study of a quantum FRW cosmological model coupled to a free massive scalar
field using a new asymptotic expansion method of the Wheeler-DeWitt equation.
It is shown that the coherent states of the nonadiabatic basis of a particular
generalized invariant give rise to the quantum back reaction of matter field
proportional to classical energy and the Einstein-Hamilton-Jacobi with matter
becomes equivalent to the classical Einstein equation.